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balandron [24]
3 years ago
8

What is the equation of the line that passes through the point (1,0) and is perpendicular to the line x+5y=30

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0

Answer:

The equation of line passing through points (1 , 0) is  x - 5 y - 1 = 0    

Step-by-step explanation:

Given equation of line as

x + 5 y = 30

Now, equation of line in standard form is y = m x + c

where m is the slope

So,  x + 5 y = 30

Or, 5 y = - x + 30

Or, y = - \frac{1}{5} x + 6

So, Slope of this line m = - \frac{1}{5}

Again , let the slope of other line passing through point (1 , 0) is M

And Both lines are perpendicular , So , products of line = - 1

i.e m × M = - 1

Or, M = - \frac{1}{m}

Or, M = - 1 × - \frac{1}{\frac{1}{5}} =  \frac{1}{5}

So, equation of line with slope M and points (1, 0) is

y - y_1 = M × (x - x_1)

Or, y - ( 0 ) =  \frac{1}{5} × ( x - 1 )

Or, y  =  \frac{1}{5} x - \frac{1}{5} × 1

Or, y  =   \frac{1}{5} x - \frac{1}{5}

or, y + \frac{1}{5} =   \frac{1}{5} x

Or, 5×y + 1  =   x

∴ 5 y + 1 =  x

I.e  x - 5 y - 1 = 0

Hence The equation of line passing through points (1 , 0) is  x - 5 y - 1 = 0   Answer

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vaieri [72.5K]

Answer:

<h2>f( - 1) = - 4</h2>

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

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That's

f( - 1) = 3(-1) - 1

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Hope this helps you

7 0
3 years ago
$10,000 for 5 years at 4% interest
inessss [21]

Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

As given in the question,

Simple Interest:

The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

Principal amount is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

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Rate = 4% per year

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Total value after 5 years = $ 12000

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The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

To know more about simple interest here

brainly.com/question/25845758

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1 year ago
sally can paint a room in 7 hours while it taks steve 9hours to finsh the same room. how ling will it take them to paint if they
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